Answer: y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2
Step-by-step explanation:
9514 1404 393
Answer:
C. 32 ft tall, 1.2 ft wide
Step-by-step explanation:
A scale of 1 : 50 means the model dimensions are 1/50 of the actual dimensions. The model width will be (60 ft)/50 = 1.2 ft . . . . matches choice C.
The model height will be (1600 ft)/50 = 32 ft. (also matches choice C)
Answer:
2/3 x 2 = 4/3 or 1 and 1/3
2/3 x 3 = 6/3 or 2
2/3 x 4 = 8/3 or 2 and 2/3
We can make this into an improper fraction:
2 1/8 = 17/8
2 3/5 = 13/5
17/8 * 13/5:
Multiply:
17/8 * 13/5 = 221/40 = 5 21/40
Step-by-step explanation:
2x - y = 11 -----(1)
x + 3y = -5 ------(2)
By
eliminating "y"
multiple equation 1 by 3 and equation 2 by 1
3×2x - 3y = 3×11
6x - 3y = 33 -----(3)
x + 3y = -5 ------(2)
add eqn (3) and eqn(2)
7x + 0 = 28
7x/7 = 28/7
x = 4
I hope this will help you, good luck!!!
